{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import gym\n",
    "import itertools\n",
    "import matplotlib\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import sys\n",
    "\n",
    "\n",
    "from collections import defaultdict\n",
    "from envs.windy_gridworld import WindyGridworldEnv\n",
    "import plotting\n",
    "\n",
    "matplotlib.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "env = WindyGridworldEnv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_epsilon_greedy_policy(Q, epsilon, nA):\n",
    "    \"\"\"\n",
    "    给定一个Q函数和epsilon，构建一个ε-贪婪的策略\n",
    "    \n",
    "    参数:\n",
    "        Q: 一个dictionary其key-value是state -> action-values.\n",
    "            key是状态s，value是一个长为nA(Action个数)的numpy数组，表示采取行为a的概率。\n",
    "        epsilon:  float \n",
    "        nA: action的个数\n",
    "    \n",
    "    返回值:\n",
    "        返回一个 函数，这个函数的输入是一个状态/观察(observation)，输出是一个长度为nA的numpy数组，表示采取不同Action的概率\n",
    "\n",
    "    \"\"\"\n",
    "    def policy_fn(observation):\n",
    "        A = np.ones(nA, dtype=float) * epsilon / nA\n",
    "        best_action = np.argmax(Q[observation])\n",
    "        A[best_action] += (1.0 - epsilon)\n",
    "        return A\n",
    "    return policy_fn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def q_learning(env, num_episodes, discount_factor=1.0, alpha=0.5, epsilon=0.1):\n",
    "    \"\"\"\n",
    "    Q-Learning 算法: Off-policy TD控制，它会采样ε-贪婪的策略来生成行为，并且使用贪婪的策略找到最优策略\n",
    "    \n",
    "    参数:\n",
    "        env: OpenAI 环境。\n",
    "        num_episodes: 采样的episode次数\n",
    "        discount_factor: 打折因子。\n",
    "        alpha: TD学习率\n",
    "        epsilon: ε\n",
    "    \n",
    "    返回值:\n",
    "         二元组(Q, stats).\n",
    "        Q 是最优行为价值函数，一个dictionary state -> action values.\n",
    "        stats是一个EpisodeStats对象，这个对象有两个numpy数值，分别是episode_lengths和episode_rewards，存储每个Episode的长度和奖励，用于绘图。\n",
    "    \"\"\"\n",
    "    \n",
    "    # 最终返回的Q(s,a)函数The final action-value function。\n",
    "    # 它是一个嵌套的dictionary state -> (action -> action-value)。\n",
    "    Q = defaultdict(lambda: np.zeros(env.action_space.n))\n",
    "\n",
    "    # 参考返回值的注释。\n",
    "    stats = plotting.EpisodeStats(\n",
    "        episode_lengths=np.zeros(num_episodes),\n",
    "        episode_rewards=np.zeros(num_episodes))    \n",
    "    \n",
    "    # 通过Q(s,a)得到ε-贪婪的策略，注意Q变化后策略就随着改变了。\n",
    "    policy = make_epsilon_greedy_policy(Q, epsilon, env.action_space.n)\n",
    "    \n",
    "    for i_episode in range(num_episodes):\n",
    "        if (i_episode + 1) % 100 == 0:\n",
    "            print(\"\\rEpisode {}/{}.\".format(i_episode + 1, num_episodes), end=\"\")\n",
    "            sys.stdout.flush()\n",
    "        \n",
    "        # 重置环境\n",
    "        state = env.reset()\n",
    "        \n",
    "        for t in itertools.count():\n",
    "            \n",
    "            # 使用ε-贪婪的策略采样一个Action\n",
    "            action_probs = policy(state)\n",
    "            action = np.random.choice(np.arange(len(action_probs)), p=action_probs)\n",
    "            next_state, reward, done, _ = env.step(action)\n",
    "\n",
    "            # 更新统计信息\n",
    "            stats.episode_rewards[i_episode] += reward\n",
    "            stats.episode_lengths[i_episode] = t\n",
    "            \n",
    "            # TD Update\n",
    "            best_next_action = np.argmax(Q[next_state])    \n",
    "            td_target = reward + discount_factor * Q[next_state][best_next_action]\n",
    "            td_delta = td_target - Q[state][action]\n",
    "            Q[state][action] += alpha * td_delta\n",
    "                \n",
    "            if done:\n",
    "                break\n",
    "                \n",
    "            state = next_state\n",
    "    \n",
    "    return Q, stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Episode 200/200."
     ]
    }
   ],
   "source": [
    "Q, stats = q_learning(env, 200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "best actions length 15, actions: [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3]\n"
     ]
    }
   ],
   "source": [
    "# 测试最终学到的策略\n",
    "state = env.reset()\n",
    "best_actions = []\n",
    "for t in itertools.count():\n",
    "\n",
    "    # 贪心的选择最优策略\n",
    "    best_action = np.argmax(Q[state])\n",
    "    best_actions.append(best_action)\n",
    "    next_state, reward, done, _ = env.step(best_action)\n",
    "\n",
    "\n",
    "    if done:\n",
    "        break\n",
    "\n",
    "    state = next_state\n",
    "\n",
    "print(\"best actions length %d, actions: %s\" %(len(best_actions), best_actions))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MKmwiIiJSp9jSwzjPj4ctG/Hcdj+m7RluRzqual2HTURERMRNtuQQzkuTYPVyzKA7MZ3PcTuSX1TYREREpE6wB/Z7D4N+ux5zzRA85/3B7Uh+U2ETERGRWs8WH8CZ+hhs24RnyAOYrue6HalCVNhERESkVrPFB3Gm/g22bsRz+4M15jDoL6mwiYiISK1ld3yH84+JsGs75rb7a2RZAxU2ERERqaXs+m+8e9bCwvHcPRrTvpPbkU6YCpuIiIjUOnbzWpzpT0BiYzz3jsFE1+x7kquwiYiISK3iLPoI+8ZzEN/Qu2ethpc1UGETERGRWsQu/wL72rPQvpP3atCISLcjVQoVNhEREakV7PdbcF5+Clq0wZP2F0xIqNuRKo0Km4iIiNR4dtsmnGfHQv0Gta6sgQqbiIiI1HDOVwuw/3wGGkTjGf4IJibO7UiVToVNREREaiRrLfadN7Dvp0PrdniGjsRExbgdq0qosImIiEiNZD/5L/b9dEyPVMz1d2CC67kdqcqosImIiEiNYq3FfvBv7JzXoVN3zKA7MR6P27GqlAqbiIiI1BjWcbBvPI9dOBdzVi/MjXfV+rIGKmwiIiJSQ9hDxdiZ07BfLcD0vRJzxSCMMW7HqhYqbCIiIhLw7M7vcZ4bB3t2Yvpdj7n4qjpT1kCFTURERAKc3boJ5+lHISjIe1/QU093O1K1q5bCNn36dJYvX050dDSTJk0CYPLkyezcuROAAwcOEBERwcSJE8nKymLEiBEkJSUB0Lp1a4YMGVIdMUVERCTA2Kyd3rIWHuEta4mN3Y7kimopbL1796Zv375MmzbNt23EiBG+r1977TUiIiJ8jxs3bszEiROrI5qIiIgEKFu4F2fqGAA8I/5WZ8saQLVcVtGuXTsiI49+81VrLV988QU9evSojigiIiJSA9iDB3CmPAr52XiGPYxpeJLbkVzl+jls69atIzo6mpNO+vk3IisriwcffJDw8HCuueYa2rZt62JCERERqU62+ADOtLGwY5u3rLVu53Yk17le2D7//PNye9diY2OZPn06DRo0YMuWLUycOJFJkyaVO2T6k4yMDDIyMgAYP348CQkJ1Zb7twQHBwdEjkCmGflHc/KP5uQfzck/mpN/qnJOZdm7KXjyYZwfthE1/K+E97qoSt6nOlTmnFwtbGVlZSxZsoTx48f7ttWrV4969by3lkhJSaFRo0bs2rWLli1bHvHzqamppKam+h7n5ORUfejjSEhICIgcgUwz8o/m5B/NyT+ak380J/9U1Zxs9m6cJx+Gg/vxDH+E/e07sb8G/34ca04/XVzpL1eXBl61ahVJSUnEx8f7tu3btw/HcQDYs2cPu3btolGjRm5FFBERkWpgs3bhPPkXOFSM5/6xmPad3I4UUKplD9uUKVNYu3YthYWFDB06lAEDBnDBBRcccTgUYO3ataSnpxMUFITH4+G22277zQsWREREpOaze3Z696yVluC573FMkxZuRwo41VLY7rnnnqNuHzZs2BHbunfvTvfu3as6koiIiAQAu3s7zpN/hbJSb1k7WWXtaFy/6EBERETqJrvrB5xJfwXH8R4GTW7mdqSApcImIiIi1c7u/N5b1sBb1pKaupwosKmwiYiISLWyWTu9Zc0YPPeNxZx0stuRAp4Km4iIiFQbW5CL89Qj4JTheXC8ypqfVNhERESkWtgftuK8NAmK9v24Z62J25FqDBU2ERERqVJ2XwH2369gv1oA4fW9t5tq0drtWDWKCpuIiIhUGVu0z3u+WtYuzEVXYP54JSZC66tWlAqbiIiIVAl7uATn2cchezeeu0djTj3d7Ug1lqu3phIREZHayToO9tVn4Nv1eAbfq7L2O6mwiYiISKWzb/8Tu2QB5k83YLqc43acGk+FTURERCqVk/Ff7IezMb0vxvyxv9txagUVNhEREak09utMbPrL0Kk7ZuBtGGPcjlQr6KIDERER+d1sWRl27lvYd9+EJil4Bt+H8QS5HavWUGETERGR38UW7cOZ9gRsXovpei7muqGY0FC3Y9UqKmwiIiJywuy+fJyJf4GcLMzge/F07+12pFpJhU1EREROiD2wH2f6OMjLxjPiMUyb09yOVGupsImIiEiF2Y1rcF6ZDHk5eG5/UGWtiukqUREREamQQ98sxXlqFHg8eP48XuusVQPtYRMRERG/2e1b2fv3h6BxMp4HxmHq676g1UF72ERERMQvtiAXZ+oYTHgEnuGjVdaqkfawiYiIyHHZ4oM4z4yBA/uJGfccexvEuR2pTtEeNhERETkmW1aG88LfYfs2PLc/SL0WbdyOVOdUyx626dOns3z5cqKjo5k0aRIA6enpfPLJJ0RFRQEwcOBAOnfuDMDs2bOZN28eHo+Hm2++mY4dO1ZHTBEREfkVay32jedg9TLMDcMwHbq4HalOqpbC1rt3b/r27cu0adPKbb/kkku47LLLym3bvn07ixcv5qmnniI/P58xY8bw9NNP4/FoZ6CIiEh1s++nYxd9hLlkAJ6eF7kdp86qlhbUrl07IiP9OzExMzOTc845h3r16tGwYUMaN27M5s2bqzihiIiI/Jqz+BPsO29gzj4fc/l1bsep01y96ODDDz9k4cKFpKSkMGjQICIjI8nLy6N169a+58TFxZGXl+diShERkbrHrl2Bfe1ZaHsGZtCdGGPcjlSnuVbY/vCHP9C/f38AZs2axWuvvUZaWlqFXiMjI4OMjAwAxo8fT0JCQqXnrKjg4OCAyBHINCP/aE7+0Zz8ozn5R3PyOrx1E/nPTyC4SQtiH56I51fLd2hO/qnMOblW2GJiYnxf9+nThwkTJgDePWq5ubm+7+Xl5REXd/RLh1NTU0lNTfU9zsnJqaK0/ktISAiIHIFMM/KP5uQfzck/mpN/NCewedk44x6AsAictIfJO1gMB4vLPUdz8s+x5pSUlFSh13LtTP78/Hzf10uWLKFJkyYAdO3alcWLF3P48GGysrLYtWsXrVq1ciumiIhInWEPFOE8/RgcKsYz/BFMbLzbkeRH1bKHbcqUKaxdu5bCwkKGDh3KgAEDWLNmDdu2bcMYQ2JiIkOGDAGgSZMmnH322dx77714PB4GDx6sK0RFRESqmD18GGf6ONizE8/dozEnN3c7kvxCtRS2e+6554htF1xwwW8+/4orruCKK66oykgiIiLyI+s42FenwoZVmMH3Ytqe4XYk+RXtuhIREanDrLXY2TOxSxZg/nQDnu693Y4kR6F7iYqIiNRRtrQU++Y/sAvmYnr2xfyxv9uR5DeosImIiNRBtvQwzvMT4OslmIuuwFxxg9ZaC2AqbCIiInWMLT3svZn710sw196O5/xL3I4kx6Fz2EREROoQW1qK88JEWPkVZuAQlbUaQoVNRESkjrClpTgvToSVX2KuuQ3PBZe6HUn8pMImIiJSB1hrsf/6Byz/AnP1YDx9/s/tSFIBKmwiIiJ1gP3kXezCuZi+V+JJvdztOFJBKmwiIiK1nF21FJv+CnTsjvnTDW7HkROgwiYiIlKL2e3bcP4xEZo0x3PrvRjd7rFG0u+aiIhILWX35eM8+ziEheO5cxQmNMztSHKCVNhERERqIXu4BGfaE1BYgOfOv2Ji492OJL+DCpuIiEgtY6313sx9ywY8g+/FNGvldiT5nXSnAxERkVrEOg723zOwSxZirhiE6XyO25GkEqiwiYiI1BLWcbAvT8YuWYDp83+Yvle6HUkqiQqbiIhILWFnz/SWtX7XYy6+Sjdzr0VU2ERERGo4ay327dewc9/C9OqrslYL6aIDERGRGs6+P+vnsnbt7SprtZD2sImIiNRQtvQw9v107HuzMGefj7nuDpW1WkqFTUREpAay+bk4z/wNftjqLWs33KmyVoupsImIiNQwtnAfzlOjoCAXz7CHMR3PcjuSVDEVNhERkRrEHj6MM30s5GbhuecxTJv2bkeSalAthW369OksX76c6OhoJk2aBMDMmTNZtmwZwcHBNGrUiLS0NOrXr09WVhYjRowgKSkJgNatWzNkyJDqiCkiIhLQ7OHDOC9MgM3rMEMeVFmrQ6qlsPXu3Zu+ffsybdo037bTTz+da6+9lqCgIF5//XVmz57N9ddfD0Djxo2ZOHFidUQTERGpEezhwzjPjYNVSzEDh+A581y3I0k1qpZlPdq1a0dkZGS5bWeccQZBQUEAtGnThry8vOqIIiIiUuPYwyU405/wlrXrhuK54FK3I0k1C4hz2ObNm8c55/x8r7OsrCwefPBBwsPDueaaa2jbtq2L6URERNxjSw55y9qaFZgb0vD07Ot2JHGB64Xt7bffJigoiPPOOw+A2NhYpk+fToMGDdiyZQsTJ05k0qRJREREHPGzGRkZZGRkADB+/HgSEhKqNfvRBAcHB0SOQKYZ+Udz8o/m5B/NyT+BNid7qJiCcWMoWbuSqGEPEZ76f25HAgJvToGqMufkamH79NNPWbZsGY888ohv7Zh69epRr149AFJSUmjUqBG7du2iZcuWR/x8amoqqampvsc5OTnVE/wYEhISAiJHINOM/KM5+Udz8o/m5J9AmpM9dAjn2TGwYRXmxuHs73g2+wMkWyDNKZAda04/XVzpL9duTbVy5Ureeecd/vznPxMaGurbvm/fPhzHAWDPnj3s2rWLRo0auRVTRESk2tlDxd5FcTeswtx0N54efdyOJC6rlj1sU6ZMYe3atRQWFjJ06FAGDBjA7NmzKS0tZcyYMcDPy3esXbuW9PR0goKC8Hg83HbbbUdcsCAiIlJb2eKDOFMfg83rMbeMwNO9t9uRJABUS2G75557jth2wQUXHPW53bt3p3v37lUdSUREJODY4gM4Tz8G327ADB6B56xebkeSAOH6RQciIiIC9uABnKcfha0bMbfdr3XWpBwVNhEREZfZA/u9Ze27zXiGPIjpcs5xf0bqFhU2ERERF9ns3TjTx8Gu771lrfPZbkeSAKTCJiIi4hK7/Aucmc+C4+C586+Y07q4HUkClAqbiIhINbPZu7GzZ2IzF0HTFDy3P4hpWLF1uaRuUWETERGpJjYvG/vf/4f9Yj54PJjLrsX8sT8mWP85lmPTnxAREZFqYL//1rtkx8EDmPMvwVx0BSY23u1YUkNUqLAVFhayYsUK8vPzufzyy8nLy8NaS3y8/sCJiIj8Frv+G5xpYyGiPp5RkzEnNXE7ktQwft+aau3atdxzzz0sWrSIt956C4Ddu3fz4osvVlk4ERGRms4u/cy7ZEdcIp4//11lTU6I34Xt1Vdf5Z577uHhhx8mKCgIgFatWvHtt99WWTgREZGazJn/Ac4/JkLz1ngeHI+JS3A7ktRQfh8Szc7OpkOHDuV/ODiYsrKySg8lIiJSk9nSUuy7b2I/SIczuuG57QFMaKjbsaQG87uwnXzyyaxcuZKOHTv6tq1atYqmTZtWSTAREZGaxjoOduln2Hf+H2TtxPRIxdwwDPPjkSmRE+V3YbvhhhuYMGECnTp1oqSkhH/84x8sW7aMBx54oCrziYiI1AjWWuwbz2MXzoXkZniGPQxndMMY43Y0qQX8Lmxt2rRh4sSJLFq0iLCwMBISEnjiiSd0haiIiNR51lrsf/+FXTgX84d+mCtvwnj8Pk1c5LgqtKxHXFwcl19+eVVlERERqXFsWRn21aexX36KOaePyppUiWMWtmeeecavXbl33nlnpQUSERGpKWxZGfaN57xl7fLrMJcM0CFQqRLH/F+Axo0b06hRIxo1akRERASZmZk4jkNcXByO45CZmUlERER1ZRUREQkYdvM6nMdHYBd9hPljfzyXXq2yJlXmmHvYrrrqKt/XY8eOZeTIkbRt29a3bf369b5FdEVEROoCW7QP+/Zr2EUfQWwCnjtGQqez3Y4ltZzf57Bt3LiR1q1bl9vWqlUrNm7cWOmhREREAo09VIz99APs/96C4gOYi/6EufQaTFi429GkDvC7sLVo0YJ//etfXH311YSEhFBSUkJ6ejrNmzevwngiIiLuso6D/ewj7Jw3oHAvtO+E56pbMMnN3I4mdYjfhS0tLY2pU6dy4403EhkZSVFRES1btmT48OFVmU9ERMQ1Nns3zqtPw8Y10KY9nrSHMK3auR1L6iC/C1vDhg15/PHHycnlecO5AAAgAElEQVTJIT8/n9jYWBISdE80ERGpnezWTTjP/A1KSzE33uW9a4EuKhCXVGgdtqKiItasWUNeXh5xcXF06dKFyMhIv352+vTpLF++nOjoaCZNmuR7vcmTJ5OdnU1iYiIjRowgMjISay0zZsxgxYoVhIaGkpaWRkpKSsU/nYiIyAmwX2fi/OPvEBWD58HRmMYnux1J6ji/V/bbuHEjd911Fx9//DHfffcdGRkZ3HXXXX5fdNC7d2/+8pe/lNs2Z84cOnTowNSpU+nQoQNz5swBYMWKFezevZupU6cyZMgQXnrppQp8JBERkRPj7CvAefNFnGlj4aQmeEb+XWVNAoLfe9heffVVbr31Vnr06OHbtnjxYmbMmMG4ceOO+/Pt2rUjKyur3LbMzEweffRRAHr16sWjjz7K9ddfz9KlS+nZsyfGGNq0acP+/ft9h2FFREQqm7UW++kH5Mx5HXvwIObcVMyAwboCVAKG34Vt165dnH12+XVmunfvzosvvnjCb753715fCYuJiWHv3r0A5OXllTs/Lj4+nry8PBU2ERGpdLZoH/b157DLPiek01mU9rsBk9TU7Vgi5fhd2Bo3bszixYs599xzfdu++OILGjVqVClBjDEVPpkzIyODjIwMAMaPHx8QF0EEBwcHRI5Aphn5R3Pyj+bkH83pSNZxOJjxX4pmPo89sJ/IQcOI6j+IsrIyt6MFPP158k9lzsnvwnbTTTcxfvx4/ve//5GQkEB2dja7du1i5MiRJ/zm0dHRvkOd+fn5REVFAd6bzOfk5Piel5ubS1xc3BE/n5qaSmpqqu/xL3/GLQkJCQGRI5BpRv7RnPyjOflHcyrP5mXjzHga1n/jXa7j2qEcTG5G/bIyzckP+vPkn2PNKSkpqUKv5XdhO+WUU3jmmWdYvnw5+fn5dOnShc6dO/t9lejRdO3alQULFtCvXz8WLFjAmWee6ds+d+5cevTowaZNm4iIiNDhUBER+d3s4RLsvPew7/8bnDLMDcMw5/1By3VIwKvQsh6RkZH07NkTgD179nDgwAG/C9uUKVNYu3YthYWFDB06lAEDBtCvXz8mT57MvHnzfMt6AHTq1Inly5czfPhwQkJCSEtLq+DHEhER+Zl1HGzmIuzsmZCbBR264rnmVkzDiu3lEHGL34VtypQp/PGPf+SUU05h/vz5vPTSS3g8Hm6++WYuuOCC4/78Pffcc9TtjzzyyBHbjDHceuut/kYTERH5TXbDapx/vwLfbYYmLfDcOAbT9gy3Y4lUiN+FbfXq1dx5550AvPfee4waNYr69eszceJEvwqbiIhIdbK7d+C89Sqs/ApiEzA334Pp3hvj8XsJUpGA4XdhKy0tJTg4mLy8PIqKijj11FMBfEtxiIiIBALrlGE/fsd7s/bgYMyfbsCkXoYJCXU7msgJ87uwNW/enNmzZ5OdnU3nzp0B73pp4eFaVFBERAKD3VeA88LfYeNq6Ngdz/V3YKJ10ZrUfH4XtqFDhzJr1iyCgoK44YYbAO/tqn65LpuIiIhb7I7vcJ5+DIr2YW6+G3P2Bbr6U2qNCi2ce/fdd5fb1r17d7p3717poURERCrCrl6O8+KTEBKC588TMM1auh1JpFIds7AtXLjQt4zHvHnzfvN5uuhARETcYLdvxfn3DFi7Ehol47l7NCaxsduxRCrdMQvb559/7itsixYt+s3nqbCJiEh1s8sX47z0FISEem/U3vtiTL16bscSqRLHLGwPPfSQ7+vRo0dXeRgREZHjsd+ux/loNqz4Elq0wXPnXzENot2OJVKlKnSng/379/tuTRUbG0vnzp2pX79+VWUTERHxsdm7cf75DGxYBRGRmD/2x1w8ABOq5Tqk9qvQwrlPPvkkSUlJJCQkkJuby8svv8x9991Hhw4dqjKjiIjUcXblVzivTAYM5upbMedeiAnTslJSd/hd2F5++WWGDBnCOeec49v2xRdf8PLLLzNlypQqCSciImLXfY3z/AQ4uTmeoX/GJDRyO5JItfP7/hz5+flHLOHRrVs3CgoKKj2UiIgI/Lhcx7OPQ6MkPCP+prImdZbfha1nz57MnTu33LaPPvrIdxWpiIhIZbJLP/OWtYZJeO4bg6kf6XYkEdf4fUh069atfPzxx/z3v/8lLi6OvLw89u7dS+vWrctdQfrYY49VSVAREakbbGkpdu5b2P/+C1qegueuUZgIlTWp2/wubH369KFPnz5VmUVEROo4u2cnzvPjYfs2zJnnYW68CxMa5nYsEdcdt7C98sor3HLLLfTu3Rvw3vHglwvlPvnkk9x///1VFlBEROoGm70b56m/QkkJnrS/YDrp1ociPznuOWwLFiwo93jmzJnlHq9atapyE4mISJ1jVy/HeeI+KD7ovbhAZU2knOPuYbPW/q7vi4iIHI21FtZ/471rwerlkNwMz9CRmMbJbkcTCTjHLWzGmN/1fRERkV+yBw9gv/oUu+BD2L4VomIw/a7HpF6uuxaI/IbjFraysjJWr17te+w4zhGPRUREjscW5GLfnYX9cj6UHIKTW2AG3Ynp3htTL8TteCIB7biFLTo6mueee873ODIystzjqKioqkkmIiK1gi09jP34Hez76VBWiul+PqZnX2jeSkdpRPx03MI2bdq06sghIiK1kN20FmfmNNj1A3TsjueqmzENT3I7lkiN4/c6bCIiIv6yB4qwb/0Tu/BDiG+IZ/gjmA5d3Y4lUmO5Wth27tzJ5MmTfY+zsrIYMGAA+/fv55NPPvEdbh04cCCdO3d2K6aIiPjJWotd+hn2zRehcB/mD/0wl12rxW9FfidXC1tSUhITJ04EvBcv3H777XTr1o358+dzySWXcNlll7kZT0REKsDuK8B5dSqsWgrNWuEZPhrTrKXbsURqhYA5JLpq1SoaN25MYmKi21FERKSC7Oa1OC/8HfYXYQYMxlxwKSYoyO1YIrWGsQGy8u306dNJSUmhb9++pKens2DBAsLDw0lJSWHQoEFERh5549+MjAwyMjIAGD9+PCUlJdUd+wjBwcGUlpa6HSOgaUb+0Zz8ozn5p6rmZK2l+LOP2Td1LEGJjYh+YCz1WrSu9PepLvrz5B/NyT/HmlNISMWWsgmIwlZaWsrtt9/OpEmTiImJoaCgwHf+2qxZs8jPzyctLe24r7Nz586qjnpcCQkJ5OTkuB0joGlG/tGc/KM5+acy52QPFMHaldjVy7CrV8DePGjVFs+df8XUb1Ap7+EW/Xnyj+bkn2PNKSkpqUKvFRCHRFesWEGLFi2IiYkB8P0ToE+fPkyYMMGtaCIi8iNbVoad/Rr243fAcSC8PqZdR+jQBdOtpxa/FalCAVHYPv/8c3r06OF7nJ+fT2xsLABLliyhSZMmbkUTEanzrOPA+q9x3v83bFyNOacP5twLIeUUnacmUk1cL2zFxcV88803DBkyxLft9ddfZ9u2bRhjSExMLPc9ERGpHrasDPvpB9h570HWLoiMwtw0HE+PVLejidQ5rhe2sLAwXnnllXLb7rrrLpfSiIgIgM3NxnnpSdi8Dlq1866l1vkcTL16bkcTqZNcL2wiIhJY7PLFOP98BhwHc+t9eM7q5XYkkTpPhU1ERIAf11Kb+zZ8vQSat8Zz2/2676dIgFBhExGp42zWLpx/ToWNayCyAabf9ZiL/oQJ1uFPkUChwiYiUofZ5V/gvPo0GA/mmtsw516o+36KBCAVNhGROsgWH8S++y/sR3O8hz+H/hkT39DtWCLyG1TYRETqCHuoGFYtxVn6mfcG7SUlmPMvwVx1i67+FAlwKmwiIrWcLcij8L03cebOhkMHISoG0yMV060XplVbt+OJiB9U2EREaimbtQv74dvYxZ9wwHEwXc/F9OwLrdtiPLpDgUhNosImIlLL2H0F2FkvYTM/gyAP5pxU4q65hYJ6uphApKZSYRMRqUVs0T6cyY/Anp2YCy/HXHgZJiae4IQEyMlxO56InCAVNhGRWsBai136GXbWS7C/EM9dozDtOrkdS0QqiQqbiEgNZktLscs+x378Dny3GZq1wnPXI5hmLd2OJiKVSIVNRKSGspvW4rz4JOTnQKNkzA3DMOem6oICkVpIhU1EpIax1sKKL3BemQIx8XjuGgWndcF4PG5HE5EqosImIlKD2I2rcd5+Db5dD8nN8Iz4GyY61u1YIlLFVNhERGoA+/23OLNnwurlEBPnPfx5Th9MsP4aF6kL9G+6iEgAs3t2Yt95A5u5CCIiMf1v8t5OKiTU7WgiUo1U2EREAowt3IddlYld+RV8vQSC62EuHoC5qB8mItLteCLiAhU2EZEAYHfvwH69BPv1V7B5PVjHe+jzgv/D9L1C56mJ1HEqbCIiLrG7fsB+/om3pO3e4d3YpAXmkgGYjt2gaUuMMe6GFJGAoMImIlLNrLXYee9j//MKWOCU0zAXXIo5vRsmPtHteCISgFTYRESqUbllOU4/E8+Nd2GiYtyOJSIBLiAK27BhwwgLC8Pj8RAUFMT48eMpKipi8uTJZGdnk5iYyIgRI4iM1Mm2IlIz2e3bvEVt1VLvuWk33oXpkapDniLil4AobACjR48mKirK93jOnDl06NCBfv36MWfOHObMmcP111/vYkIRkYqzuVneZTm+/BTCIjBX3Og9/BmqZTlExH8Bex+TzMxMevXqBUCvXr3IzMx0OZGIiP9s4T6cWS/j/HUoNvMzzB/64Rn3Dzx/vFJlTUQqLGD2sI0dOxaACy+8kNTUVPbu3UtsrPcy9piYGPbu3XvEz2RkZJCRkQHA+PHjSUhIqL7AvyE4ODggcgQyzcg/mpN/Am1OtvggB95LZ//s17HFBwk7/2IirxlMUEIjV3MF2pwClebkH83JP5U5p4AobGPGjCEuLo69e/fy+OOPk5SUVO77xpijnueRmppKamqq73FOTk6VZz2ehISEgMgRyDQj/2hO/gmEOVnHgQ2rsF9+il22GA4dhDO64fnTIA4nNyUfwOWMgTCnmkBz8o/m5J9jzenXXed4AqKwxcXFARAdHc2ZZ57J5s2biY6OJj8/n9jYWPLz88ud3yYiEijs1k04L06E7N0QFo7p2gNz3h8wLU91O5qI1CKuF7bi4mKstYSHh1NcXMw333xD//796dq1KwsWLKBfv34sWLCAM8880+2oIiIA2P1FsHkdduMq7Lz3IToWc+t9mI7ddX6aiFQJ1wvb3r17efLJJwEoKyvj3HPPpWPHjrRs2ZLJkyczb94837IeIiJuseu+xq74ErtpDez4DqyFoGDo0BXPoDsxDXQUQESqjuuFrVGjRkycOPGI7Q0aNOCRRx5xIZGIyM/s7h046S97108LDYOWp2K69MC0bg8tWmNCtEdNRKqe64VNRCTQWMeBtStw5n/gK2qm/83e9dPq1XM7nojUQSpsIiI/socPY7+cj/1wNuzZAQ2iMRdfhbngEkxUrNvxRKQOU2ETkTrPOg520UfYd9+EvXnQNAUz+F7voU/tURORAKDCJiJ1li05BBtW4bw3C7ZsgNbt8NxyN7TtqHt8ikhAUWETkTrFFuR6r/ZctQzWfwOHS7yHPm8ZgeneW0VNRAKSCpuI1Bl29TKcf0yEgweg4UmYnhdhOnSFNu0x9ULcjici8ptU2ESk1rNlZdj307HvzYLkZnhuvQ+T3NTtWCIiflNhE5Fay5aVwddLcP73H9i2CXNWL8z1aZiwcLejiYhUiAqbiNQ6trQU+8l/sfPeg7wciEvADHkAz5nnuR1NROSEqLCJSI1nHcd7Xtr+fVCQj/OfGbB1I7Q9A881Q+D0MzFBQW7HFBE5YSpsIhJQ7OHD3uJVVAj7C6GoEHvE40Io2gf7C8k6sB9buA+s8/OLhNfHc/uDmK7nuvdBREQqkQqbiLjKlpbCt+uxq5dhVy+D7dt++8khIVA/Cuo3gMgGmOTmhCU0pDioHkQ2gMgoTGQDaNZSdyYQkVpFhU1EXGF378B+kI5d+ZX3cGZQELRqh/m/ayAq1lu86ntLmK+gHeVG61EJCZTk5LjwCUREqo8Km4hUG3uoGDauxi5ZhP1qAdSr571y87Qu0PYMTHiE2xFFRAKSCpuIVCm7fSv2m6XYtSth8zooK4WQEEzq/2H6XomJinE7oohIwFNhE5FKZ/cVYJcswH4+D7Zv9W48uYW3pLXr6D30eZTDmyIicnQqbCJywqy1kJ8L27dif9iK/WEL/LANsneBtdC8NebaoZguZ+siABGR30GFTUT8ZosPwJaN2M3rsN+uh+83e5fb+EliY2iSgjn7fEznszFJuv2TiEhlUGETkaOypYdh5w/evWbfbfYWtB+2edc7MwaSm2E6doemKZgmLSC5uS4aEBGpIipsIoI9XALfb8F+t9n7zx+2wM7vobTU+4TQMGjRBnPJVZiWbSHlFExEfXdDi4jUISpsInWQzd6N3bIBtm70/vP7Ld6rN8G77lnTFEyfy7z/bJoCDU/CeHRrJxERt6iwidQh9sB+7OvTsZmLvBtCQr0XBlx4OSblFGjWCmLjMca4G1RERMpxtbDl5OQwbdo0CgoKMMaQmprKxRdfTHp6Op988glRUVEADBw4kM6dO7sZVaTGso7jPQdt5VfYL+dDQR7mkgGYzud4z0PTTdFFRAKeq4UtKCiIG264gZSUFA4ePMjIkSM5/fTTAbjkkku47LLL3IwnUmPZ4gOwfpX3/pxfL4GCPPB4oHV7PEMexLQ81e2IIiJSAa4WttjYWGJjvWszhYeHk5ycTF5enpuRRGosW5CL/eJT7JrlP99RIDQM2nfCdOyOOb0rpn4Dt2OKiMgJMNZa63YIgKysLEaPHs2kSZN47733WLBgAeHh4aSkpDBo0CAiIyOP+JmMjAwyMjIAGD9+PCUlJdUd+wjBwcGU/nRlnRyVZuQff+dkHYeDH/+XotemYQ/sJ7h5a0I6dSO0U3fqndoBUy+kGtK6R3+e/KM5+Udz8o/m5J9jzSkkpGJ/NwdEYSsuLmb06NFcccUVnHXWWRQUFPjOX5s1axb5+fmkpaUd93V27txZ1VGPKyEhgZycHLdjBDTNyD/Hm5N1yrBLP8d+8G/Y8R2cejqe69MwjZKqMaX79OfJP5qTfzQn/2hO/jnWnJKSKvZ3tetXiZaWljJp0iTOO+88zjrrLABiYn6+GXSfPn2YMGGCW/FEXGUdB/bmQ+4ebG425OyB3Cxsbhbs/AEKcuGkJpjB92LO6qWrO0VEailXC5u1lueff57k5GQuvfRS3/b8/HzfuW1LliyhSZMmbkUUqRbWWsjejd28Drasx2btIqcgFyd798+L1/6kQTTEN8S0PBVz5nnQqTvG43EnuIiIVAtXC9uGDRtYuHAhTZs25YEHHgC8S3h8/vnnbNu2DWMMiYmJDBkyxM2YIlXC7i/Cfp6B3bwWvl0P+wq83wivD42TCW55Cs7p3SChISa+ESQ0hLhETGiYu8FFRKTauVrYTj31VNLT04/YrjXXpDaz1sLePJxnxnjvMJDYGNOuE7Rqi2nV1nuI0+MhRueIiIjIj1w/h02ktrFlZd5zy3KzsXlZkJsNednYvGzf1xwqhqBgPMMfwXTo6nZkEREJcCpsIpXEfvctzqtPw47vwTrlvxkZBfEN4aSTMe07QXwipvVpmGYt3QkrIiI1igqbyO9gDx+GLRuwa5ZhM96FBlGYi/t7zzWL955z5j3vLNTtqCIiUoOpsIn4yXvuWT7s/B77w1bs+q9h4xooOeS97dNpXfDceBcmKub4LyYiIlIBKmwiR2EPFcPWjdid33sL2s7vveue7S/8+UmNT8b0SMW0OwPadMBE1HcvsIiI1GoqbCK/YJ0y7GcZ2Hfe+HmZjYj6kNQU0+Uc7z+TmkJyU0xUrLthRUSkzlBhEwFsQR72y/nYRR9D1k5o1RbPjXdB0xSIjtMdBERExFUqbFJn2YMHsF8vwS5ZCGuWg+NAq3Z4rhgEnc9WSRMRkYChwiZ1ii3Ixa79GrviS1i9DEoPQ0w85qI/Yc5JxTROdjuiiIjIEVTYpFazJYdg9XLs+q+x676B3du934iJw/Tqi+l6LqScontxiohIQFNhk1rLfpOJ8/9egNwsCAmFNu0x516IaXsGnNxcJU1ERGoMFTapcay1ULQPCvKgIA9bkAt78yA/D7s3z7edvXlwUhM8d4+GU0/HBNdzO7qIiMgJUWGTgGYPFMH6b7BrVmJ3bPu5jJWVHvnkyCiIifMe7jy5OTRNwfS8SEVNRERqPBU2CRi25JB3SY3dO7A7vseuWwlbNnrvyxkWDs1aYVq3g5h4bymLiYNob0EjOg5TT8VMRERqJxU2qXa2rAy7YZX37gG7d2B374A9OyAvG6z1PskYaN4ac3F/TPvO0KINJlh/XEVEpG7SfwGlWtmCXAqmPoazapl3Q2gYNErGtDwVzukDjZO9S2s0SsaEhrkbVkREJECosEmVsdZCXg5s3YDdugm7bSNs20SJ8WCuG4o54yzvoU0tUCsiInJMKmzyu1lrvVdk/uLwpt29A77/9uf7cQYHQ5MUzHkXEddvIAVhke6GFhERqUFU2MQvtqwMCnIhJwubuwdy9sCenT8WtJ1w6ODPTw4JgYbJmHadIKUNpkUb77pnP16tGZyQADk5Ln0SERGRmkeFTYBfrG22Zwc2ew/8WMpsTpZ34dn8HCgr+/kHjIG4RO85Z63bQaMkTKNkaJzsvdWTFqUVERGpNCpsdYw99OPSGXt2YPf8uITGnh+v0jywv/yTo+MgoSEm5VRIaAjxDTEJjbxfxyZqGQ0REZFqosJWS/j2kOXnQkGud/X//LxffJ3rXXB2f2H5H4xN8O4d69bz571kiY295axeiDsfRkRERMoJ6MK2cuVKZsyYgeM49OnTh379+rkdyRX28GHv+WM/3Ybpx1JGQR72F19Terj8DxoDUTHehWYTGv286GzDJEyjJG9B09IZIiIiAS9gC5vjOLz88sv89a9/JT4+noceeoiuXbty8sknux2twqy13jJVfND769BBKC7+8etibLntB6FoH7Yg7+diVrTvyBcNCflxxf947yHL2Djv17HebcTGQ1SsFpsVERGpBQL2v+abN2+mcePGNGrUCIBzzjmHzMxM1wqbPXwY1q7EFh+AQz+XrV8WLVt8kHynjLLCfUd8D8fx7408HqjfwFu44hIwKaf8XMZ+KmIx8RBRX+uXiYiI1BEBW9jy8vKIj4/3PY6Pj2fTpk3lnpORkUFGRgYA48ePJyEhocryOPsLyX52zJHfCAnFEx6BCQvHhNeH8AhCYuN/fByBCY/A84uvTVgEJjz8F1//4vth4VAvpNYXseDg4Cr9vaotNCf/aE7+0Zz8ozn5R3PyT2XOKWALmz9SU1NJTU31Pc6pwrW9rOPgeXgShIZ7b0QeGgZhYRhP0M/PAWITEk4sR0kplBQe/3m1QMKJzqiO0Zz8ozn5R3Pyj+bkH83JP8eaU1JSUoVeK2ALW1xcHLm5ub7Hubm5xMXFuZbHeDzQvLVr7y8iIiJ1V8CubtqyZUt27dpFVlYWpaWlLF68mK5du7odS0RERKTaBewetqCgIG655RbGjh2L4zicf/75NGnSxO1YIiIiItUuYAsbQOfOnencubPbMURERERcFbCHREVERETES4VNREREJMCpsImIiIgEOBU2ERERkQCnwiYiIiIS4FTYRERERAKcCpuIiIhIgDPWWut2CBERERH5bdrDVslGjhzpdoSApxn5R3Pyj+bkH83JP5qTfzQn/1TmnFTYRERERAKcCpuIiIhIgAt69NFHH3U7RG2TkpLidoSApxn5R3Pyj+bkH83JP5qTfzQn/1TWnHTRgYiIiEiA0yFRERERkQAX7HaAQDd9+nSWL19OdHQ0kyZNAqCoqIjJkyeTnZ1NYmIiI0aMIDIyEmstM2bMYMWKFYSGhpKWlubbFfrpp5/y9ttvA3DFFVfQu3dvtz5SlcjJyWHatGkUFBRgjCE1NZWLL75Ys/qVkpISRo8eTWlpKWVlZXTv3p0BAwaQlZXFlClTKCwsJCUlhbvuuovg4GAOHz7Ms88+y5YtW2jQoAH33HMPDRs2BGD27NnMmzcPj8fDzTffTMeOHV3+dJXLcRxGjhxJXFwcI0eO1Ix+w7BhwwgLC8Pj8RAUFMT48eP1792v7N+/n+eff54ffvgBYwx33HEHSUlJmtEv7Ny5k8mTJ/seZ2VlMWDAAHr16qU5/cp7773HvHnzMMbQpEkT0tLSKCgoqPq/n6wc05o1a+y3335r7733Xt+2mTNn2tmzZ1trrZ09e7adOXOmtdbaZcuW2bFjx1rHceyGDRvsQw89ZK21trCw0A4bNswWFhaW+7o2ycvLs99++6211toDBw7Y4cOH2x9++EGz+hXHcezBgwettdYePnzYPvTQQ3bDhg120qRJ9rPPPrPWWvvCCy/YDz/80Fpr7dy5c+0LL7xgrbX2s88+s0899ZS11toffvjB3n///bakpMTu2bPH3nnnnbasrMyFT1R13n33XTtlyhQ7btw4a63VjH5DWlqa3bt3b7lt+veuvGeeecZmZGRYa73/3hUVFWlGx1BWVmZvvfVWm5WVpTn9Sm5urk1LS7OHDh2y1nr/Xpo/f361/P2kQ6LH0a5dOyIjI8tty8zMpFevXgD06tWLzMxMAJYuXUrPnj0xxvD/27v/mKjrP4DjzzuOUw7iuDsEBOfk5CpEIBYkFGymsrayNh2rdNVu1iggjK0mrq3+0dYPlaBJY22p2VyLNmW5dK1G2ZJsYIr8CrlE00wO7nMhP7w47u77B/t+viDq95vfPC58Pf763Ofz5sP7/dp93vf6vN/3/tydd97JyMgIbrebkydPkpGRQVRUFFFRUWRkZHDy5Mmgt+VWMplM6t1VREQESUlJKIoisbqKRqNh7ty5APh8Pnw+HxqNho6ODnJzcwFYvnz5lDj9++40NzeX9vZ2AuiyEPkAAAmHSURBVIEAzc3N3H///YSHhxMXF0dCQgIOh2NG2nQruFwufvrpJ1auXAlAIBCQGP0Fct39x+joKF1dXaxYsQIAnU5HZGSkxOgG2traSEhIYN68eRKna/D7/YyNjeHz+RgbGyMmJiYo/ZNMid6EwcFBTCYTADExMQwODgKgKAqxsbFqOYvFgqIoKIqCxWJR95vNZhRFCW6lg8jpdNLb20tKSorE6hr8fj+VlZVcunSJhx56iPj4eAwGA2FhYcDUNk+OR1hYGAaDgaGhIRRFwWazqeecbXHas2cPTz31FFeuXAFgaGhIYnQDb7zxBgCFhYWsWrVKrrtJnE4n0dHRvP/++5w7dw6r1YrdbpcY3cDRo0d54IEHAPm8u5rZbObRRx+lpKQEvV5PZmYmVqs1KP2TJGz/J41Gg0ajmelqhAyPx8OOHTuw2+0YDIYpxyRWE7RaLdu2bWNkZITt27dz8eLFma5SSDl+/DhGoxGr1UpHR8dMVyfkbdmyBbPZzODgIFu3biUxMXHK8dv9uvP5fPT29rJhwwZsNhu7d++moaFhSpnbPUaTjY+Pc/z4cdavXz/tmMRp4jvszc3N1NbWYjAYqKqqCtoIokyJ3gSj0Yjb7QbA7XYTHR0NTGTIAwMDajmXy4XZbMZsNuNyudT9iqJgNpuDW+kgGB8fZ8eOHRQUFLBs2TJAYnUjkZGRpKWlcfr0aUZHR/H5fMDUNk+Oh8/nY3R0lDvuuGNWx6m7u5uWlhbKysqorq6mvb2dPXv2SIyu499tMhqN5OTk4HA45LqbxGKxYLFY1NGM3Nxcent7JUbXceLECZKTk4mJiQGkD79aW1sbcXFxREdHo9PpWLZsGd3d3UHpnyRhuwnZ2dkcOXIEgCNHjpCTk6Pu/+677wgEApw+fRqDwYDJZOKee+6htbWV4eFhhoeHaW1tnXWr1QKBAHV1dSQlJbF69Wp1v8RqqsuXLzMyMgJMrBg9deoUSUlJpKWlcezYMWBihVV2djYA9957L99++y0Ax44dIy0tDY1GQ3Z2Nk1NTXi9XpxOJ7///jspKSkz0qa/2/r166mrq6O2tpaKigqWLl3Kxo0bJUbX4PF41Gljj8fDqVOnWLhwoVx3k8TExGCxWNSR7La2NhYsWCAxuo7J06EgffjVYmNj6enp4c8//yQQCKjvp2D0T/Lg3P+iurqazs5OhoaGMBqNPP744+Tk5PDuu+8yMDAwbZnzhx9+SGtrK3q9ntLSUhYvXgxAY2MjBw4cACaWOT/44IMz2ay/3c8//8zrr7/OwoUL1SHzdevWYbPZJFaTnDt3jtraWvx+P4FAgLy8PIqKiujr66O6uprh4WGSk5MpLy8nPDycsbExdu7cSW9vL1FRUVRUVBAfHw/A/v37+eabb9BqtdjtdrKysma4dX+/jo4ODh48yObNmyVG19DX18f27duBibv3/Px81q5dy9DQkFx3k5w9e5a6ujrGx8eJi4ujtLSUQCAgMbqKx+OhtLSUnTt3ql9pkffSdPX19TQ1NREWFsaiRYt44YUXUBTllvdPkrAJIYQQQoQ4mRIVQgghhAhxkrAJIYQQQoQ4SdiEEEIIIUKcJGxCCCGEECFOEjYhhBBCiBAnCZsQ4h9r//791NXVzXQ1hBDilpPHegghQtbTTz+tbo+NjaHT6dBqJ+4zi4uLKSgoCFpdGhsb+fzzz1EUhTlz5mC1WqmoqCAiIoLa2losFgtPPvlk0OojhLi9yG+JCiFC1scff6xul5WV8fzzz5ORkRH0enR2dvLJJ5/w6quvkpyczPDwMC0tLUGvhxDi9iUJmxDiH6u+vp5Lly6xceNGnE4nL774IiUlJdTX1+PxeFi3bh1Wq5W6ujoGBgYoKCjg2WefVf++sbGRgwcP8scff5CSkkJxcTHz5s2b9n8cDgc2m43k5GQAoqKiWL58OQBff/0133//PQBffPEFaWlpbN68GUVR2LVrF11dXcydO5dHHnmEhx9+WK33+fPn0Wq1nDhxgvnz51NSUsKiRYsAaGho4PDhw1y5cgWTycRzzz1Henr6LYykECLUScImhJhVenp6qKmpoauri3feeYfMzExee+01fD4fmzZtIi8vjyVLltDc3MyBAweorKxk/vz5NDQ0UFNTw9atW6ed02az8emnn1JfX09GRgaLFy8mPDwcgFWrVtHd3T1lStTv9/P222+Tk5NDRUUFLpeLLVu2kJiYqP6uYktLCy+99BLl5eUcOnSIbdu2UVNTg9Pp5Msvv+TNN9/EbDbjdDrx+/3BC6AQIiTJogMhxKxSVFSEXq8nMzOTOXPmkJ+fj9FoxGw2c/fdd9Pb2wvAV199xZo1a1iwYAFhYWGsWbOGs2fP0t/fP+2cqampvPLKK5w5c4a33nqLDRs28NFHH103kfrll1+4fPkyRUVF6HQ64uPjWblyJU1NTWoZq9VKbm4uOp2O1atX4/V66enpQavV4vV6uXDhgvrblwkJCbcmWEKIfwwZYRNCzCpGo1Hd1uv10157PB4A+vv72b17N3v37lWPBwIBFEW55rRoVlYWWVlZ+P1+Ojo6qKqqIjExkcLCwmll+/v7cbvd2O12dZ/f7yc1NVV9bbFY1G2tVovFYsHtdpOamordbuezzz7jwoULZGZm8swzz2A2m28uIEKIWUESNiHEbSk2Npa1a9f+5ZWmWq2W9PR0li5dyvnz5wHQaDTTzh0XF8d777133fO4XC512+/343K5MJlMAOTn55Ofn8/o6CgffPAB+/bto7y8/C/VUwgxu8iUqBDitlRYWEhDQ4OadI2OjvLDDz9cs2xzczNHjx5leHiYQCCAw+Ggs7MTm80GTIzq9fX1qeVTUlKIiIigoaGBsbEx/H4/v/76Kw6HQy1z5swZfvzxR3w+H4cOHSI8PBybzcbFixdpb2/H6/Wi1+vR6/XTEkIhxO1HRtiEELel++67D4/HQ3V1NQMDAxgMBtLT08nLy5tWNjIyksOHD7Nr1y68Xi8mk4nHHntMHZ1bsWIFVVVV2O12lixZwqZNm6isrGTv3r2UlZUxPj5OYmIiTzzxhHrO7OxsmpqaqK2tJSEhgZdffhmdTofX62Xfvn389ttvhIWFcdddd1FcXBy0uAghQpM8OFcIIYJs8uNIhBDifyFTokIIIYQQIU4SNiGEEEKIECdTokIIIYQQIU5G2IQQQgghQpwkbEIIIYQQIU4SNiGEEEKIECcJmxBCCCFEiJOETQghhBAixEnCJoQQQggR4v4FS9HloZ0Fy7IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 720x360 with 1 Axes>,\n",
       " <Figure size 720x360 with 1 Axes>,\n",
       " <Figure size 720x360 with 1 Axes>)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plotting.plot_episode_stats(stats)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "py3.6-env",
   "language": "python",
   "name": "py3.6-env"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
